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2 years ago

C(x) = mx + 500

Mathematics

1 answer:

grin007 [14]2 years ago

6 0

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

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What values of a and b make the equation true? sqrt(648)=sqrt(2^a•3^b)

Anuta_ua [19.1K]

ANSWER

The value of a and b are:

$a=3,b=4$

EXPLANATION

The expression given to us is

$\sqrt{648} = \sqrt{ {2}^{a} \times {3}^{b} }$

We square both sides of the equation to obtain

$648= {2}^{a} \times {3}^{b}$

We now find the prime factorization of 648 to obtain,

${2}^{3} \times {3}^{4} = {2}^{a} \times {3}^{b}$

We now compare the exponents on both sides of the equation to obtain,

$a=3,b=4$

Therefore the correct option is C

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2 years ago

Please Solve 8=1/3(a+5)

e-lub [12.9K]

Answer:

a = 19

Step-by-step explanation:

Given the equation of:

$\displaystyle{8 = \dfrac{1}{3}(a+5)}$

First, multiply both sides by 3. That will clear the denominator which makes it easier to solve for a variable:

$\displaystyle{8 \cdot 3= \dfrac{1}{3}(a+5) \cdot 3}\\\\\displaystyle{24= a+5}$

Subtract both sides by 5 to isolate the variable:

$\displaystyle{24-5=a+5-5}\\\\\displaystyle{19=a}$

Therefore, the value of a is 19.

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10 months ago

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3. Ron used 24 cubes to make this 3-step staircase. If he uses a total of 84 cubes to make a similar staircase, how many steps w

motikmotik

Divide 24 by 3 to figure out how many cubes are in 1 step (24/3=8). Now divide 84 by 8 to figure out how many steps he built with 84 cubes (84/8=10.5). Ron's second staircase has 10 and a half steps :)

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Tasya [4]

Hello,

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Answer:

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